Algebraic Expressions and Identities — Maths STD 8 — Question
Maharashtra BoardEnglish MediumSTD 8MathsAlgebraic Expressions and Identities2 Marks
Question
Simplify the following using the identities:
$1.73 \times 1.73-0.27 \times 0.27$
✓
Answer
Let us consider the following expression:
$1.73 \times 1.73-0.27 \times 0.27$
Using the identity $(a+b)(a-b)=a^2-b^2$
we get:
$1.73 \times 1.73-0.27 \times 0.27=1.732-0.272=(1.73+0.27)(1.73-0.27)=2 \times 1.46=2.92$
Thus, the answer is 2.92.
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